Question

Which expression is equivalent to the expression below? StartFraction m + 3 Over m squared minus 16 EndFraction divided by StartFraction m squared minus 9 Over m + 4 EndFraction

Answer 1

The answer is B

Explanation:

I did the Quiz, got it right

Answer 2

`(1)/((m - 4)(m + 3))`

Explanation:

We want to find an expression that is equivalent to

`\frac{m + 3}{ {m}^(2) - 16} / \frac{ {m}^(2) - 9 }{m + 4}`

First, multiply by the reciprocal of the second fraction.

`\frac{m + 3}{ {m}^(2) - 16} * \frac{m + 4}{ {m}^(2) - 9 }`

We now factor to obtain:

`(m + 3)/( (m + 4)(m - 4)) * (m + 4)/((m + 3)(m - 3))`

We cancel common factors to get:

`(1)/( m - 4) * (1)/(m - 3) = (1)/((m - 4)(m + 3))`